Abstract
In this paper, we consider the second-order consensus problem of hybrid multi-agent systems with unknown disturbances by using sliding mode control under the leader-follower network. First, the hybrid multi-agent system model with disturbances and nonlinear term is proposed, which is composed of continuous-time dynamic agents and discrete-time dynamic agents. Second, the definition of the second-order consensus of hybrid multi-agent system is given. Then, we assume that the interaction among all agents happens in sampling time and each continuous-time dynamic agent can observe its own states in real time. Based on the equivalent approaching law and the states information among agents, the sliding mode control protocols are designed to achieve the second-order consensus of the hybrid multi-agent system. Some sufficient conditions are given for solving the second-order consensus under the sliding mode control protocols. Finally, some simulations are also given to illustrate the validity of the proposed method.
Highlights
The topic of cooperative control for multi-agent system has been widely concerned by many researchers in the past decades
MAIN RESULTS The follower agents in hybrid multi-agent system (1) are all affected by the disturbances, it is necessary to design appropriate sliding mode control protocols for solving the second-order consensus problem
The sliding mode control protocols are designed to realize the secondorder consensus of the hybrid multi-agent system with disturbances
Summary
The topic of cooperative control for multi-agent system has been widely concerned by many researchers in the past decades. In [38], the authors considered the distributed consensus problem of the second-order multi-agent system where the agents are connected via distance-dependent networks and established the sufficient conditions for the hybrid consensus of the second-order dynamics system. Almost no sliding mode control method is used to study the consensus of hybrid multi-agent systems with disturbances and nonlinear term. There are often nonlinear terms in hybrid multi-agent systems, we consider the continuous-time dynamic agents in hybrid multi-agent systems are nonlinear, and the control protocols can solve the nonlinear problem in the system.
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